345765960 has 192 divisors, whose sum is σ = 1163635200. Its totient is φ = 88998912.

The previous prime is 345765949. The next prime is 345765961. The reversal of 345765960 is 69567543.

345765960 is a `hidden beast` number, since 3 + 4 + 57 + 6 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345765961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550409 + ... + 1550631.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2^345765960 is an apocalyptic number.

345765960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581817600).

345765960 is an abundant number, since it is smaller than the sum of its proper divisors (817869240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345765960 is a wasteful number, since it uses less digits than its factorization.

345765960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 345765960 is about 18594.7831393647. The cubic root of 345765960 is about 701.8765702099.

The spelling of 345765960 in words is "three hundred forty-five million, seven hundred sixty-five thousand, nine hundred sixty".